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olga2289 [7]
3 years ago
7

Help with this question ??

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

15 units per unit

Step-by-step explanation:

From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.  

Thus, the average rate of change of f(x) on the interval [2, 3] is:

    1         15 - 0       15 units

--------- * ----------- = -------------- = 15 units (rise) per unit (run).

 3 - 2          1                 1

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Ellie's favorite recipe requires 3 eggs and makes 6 servings. Grace modifies the recipe by using 7 eggs and increasing all other
grandymaker [24]

The modified recipe will make 14 servings.

Step-by-step explanation:

Given,

Eggs used = 3

Servings made = 6

Ratio of eggs to servings = 3:6

Eggs used in modified recipes = 7

Let,

x be the number of servings = x

Ratio of eggs to servings = 7:x

Using proportion;

Eggs to servings :: Eggs to servings

3:6::7:x

Product of mean = Product of extreme

6*7=3*x\\42=3x\\3x=42

Dividing both sides by 3

\frac{3x}{3}=\frac{42}{3}\\x=14

The modified recipe will make 14 servings.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9087716
  • brainly.com/question/9056912

#LearnwithBrainly

8 0
3 years ago
Including a 6% sales​ tax, an inn charges $265 per night. Find the​ inn's nightly cost before the tax is added
olya-2409 [2.1K]
265/1.06=250$
...........
3 0
3 years ago
Read 2 more answers
Jason plans to invest $9,000 in an account at Union Bank. The annual rate is 3.78% compounded continuously. How much does Jason
SIZIF [17.4K]

Answer: he would have $13134 at the end of 10 years

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = $9000

r = 3.79% = 3.78/100 = 0.0378

t = 10 years

Therefore,

A = 9000 x 2.7183^(0.0378 x 10)

A = 9000 x 2.7183^(0.378)

A = $13134 to the nearest dollar

5 0
3 years ago
Complete the equation of the line through (6,-6) and (8,8)
melomori [17]
General formula to determine the equation of the line
y - y₁ = m(x - x₁)
(x₁,y₁) is one of the points which lies n the line
m represents the slope

Find the slope
Given:
(x₁,y₁) = (6,-6)
(x₂,y₂) = (8,8)

We could find the slope by using this formula
m = \dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} }

Plug in the numbers
m = \dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} }
m = \dfrac{8-(-6)}{8-6}
m = \dfrac{14}{ 2 }
m = 7
The slope is 7

Determine the line equation
Plug one of the points (you could choose any of points given from the question) and the slope to the formula of line equation
y - y₁ = m(x - x₁)
y - (-6) = 7(x - 6)
y + 6 = 7x - 42
y = 7x - 42 - 6
y = 7x - 48
<em>This is the equation of the line</em>
3 0
3 years ago
Describing the Vertical Line Test<br> Explain what the vertical line test is and how it is used.
Radda [10]

Answer:

Vertical line test is used to identify that the given graph is function or not

In this a vertical line is drawn at any part of the graph

If it cuts only one line then it is a function and it cuts more than one line then it is not a function

3 0
3 years ago
Read 2 more answers
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